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Finding the Fourth Proportional to 197,832, 273,008.16 and 108,408

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Solution

The fourth proportional to 197,832, 273,008.16 and 108,408 is: 149,603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,832 : 273,008.16 = 108,408 : x
  2. Step 2: Convert to fraction form
    197,832/273,008.16 = 108,408/x
  3. Step 3: Cross multiply
    197,832x = 273,008.16 × 108,408
  4. Step 4: Simplify right side
    197,832x = 29,596,268,609.28
  5. Step 5: Solve for x
    x = 29,596,268,609.28/197,832
  6. Step 6: Final answer
    x = 149,603.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.